Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
To determine
In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
A......................................
9514 1404 393
Answer:
666 ft
Step-by-step explanation:
The circumference of the wheel is given by the formula ...
C = 2πr
For a radius of 106 ft, the circumference is ...
C = 2(3.14)(106 ft) = 665.68 ft
Sabrina traveled about 666 feet in one revolution.
If the national unemployment rate decreased at an annual rate of 2% per year for three consecutive years, then the rate decreased by 5.88% over the 3-year period.
<h3>What is the rate of decrease over the 3-year period?</h3>
The rate of decrease would compound over the 3-year period. Thus, in order to determine the total rate of decline, the yearly rate of decline cannot be added.
Total rate of decline = (1 - yearly rate of decline)^(number of years)
(1 - 0.02)^3 = 5.88%
To learn more about compounding, please check: brainly.com/question/18760477
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Either look it up on a calculator or draw it out like this https://youtu.be/KiI4eZCGTLM